Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9484/296,5821/4793
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9484,5821
Greatest Common Factor of Numerators i.e. GCF of 9484,5821 is 1 .
LCM of Denominators means LCM of 296,4793 as per the given fractions.
LCM of 296,4793 is 1418728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9484,5821
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9484
List of positive integer factors of 9484 that divides 9484 without a remainder.
1,2,4,2371,4742,9484
Factors of 5821
List of positive integer factors of 5821 that divides 5821 without a remainder.
1,5821
Greatest Common Factor
We found the factors 9484,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 9484,5821 is 1.
Lets's calculate LCM of 296,4793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418728
Therefore, the GCF of Fractions 9484/296,5821/4793 is 1/1418728
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 296,4793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,4793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,4793) x common factors =1 x 1 = 1
LCM(296,4793) = ( 296 × 4793 ) / 1
LCM(296,4793) = 1418728 / 1
LCM(296,4793) = 1418728
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9484/296, 5821/4793?
Answer: GCF of Numerators as per given numbers 9484/296, 5821/4793 is
GCF of Numerators i.e. for 9484,5821 is 1
LCM of denominators i.e. for 296,4793 is 1418728.
Thus, GCF of Fractions is 1/1418728.Finally, GCF of Fractions for 9484/296, 5821/4793 is 1/1418728.